Maxwell.H

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    Copyright (C) 2016 OpenFOAM Foundation
    Copyright (C) 2019 OpenCFD Ltd.
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License
    This file is part of OpenFOAM.
 
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    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
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    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    for more details.
 
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Class
    Foam::laminarModels::Maxwell
 
Group
    grpLaminar
 
Description
    Maxwell model for viscoelasticity using the upper-convected time
    derivative of the stress tensor.
    See http://en.wikipedia.org/wiki/Upper-convected_Maxwell_model
 
    The model includes an additional viscosity (nu) from the transport
    model from which it is instantiated, which makes it equivalent to
    the Oldroyd-B model for the case of an incompressible transport
    model (where nu is non-zero).
    See https://en.wikipedia.org/wiki/Oldroyd-B_model
 
    Reference:
    \verbatim
        Amoreira, L. J., & Oliveira, P. J. (2010).
        Comparison of different formulations for the numerical calculation
        of unsteady incompressible viscoelastic fluid flow.
        Adv. Appl. Math. Mech, 4, 483-502.
        DOI:10.4208/aamm.10-m1010
    \endverbatim
 
SourceFiles
    Maxwell.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef Maxwell_H
#define Maxwell_H
 
#include "laminarModel.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace laminarModels
{
 
/*---------------------------------------------------------------------------*\
                           Class Maxwell Declaration
\*---------------------------------------------------------------------------*/
 
template<class BasicTurbulenceModel>
class Maxwell
:
    public laminarModel<BasicTurbulenceModel>
{
 
protected:
 
    // Protected Data
 
        // Model coefficients
 
            dimensionedScalar nuM_;
            dimensionedScalar lambda_;
 
 
        // Fields
 
            volSymmTensorField sigma_;
 
 
    // Protected Member Functions
 
        //- Return the turbulence viscosity
        tmp<volScalarField> nu0() const
        {
            return this->nu() + nuM_;
        }
 
 
public:
 
    typedef typename BasicTurbulenceModel::alphaField alphaField;
    typedef typename BasicTurbulenceModel::rhoField rhoField;
    typedef typename BasicTurbulenceModel::transportModel transportModel;
 
 
    //- Runtime type information
    TypeName("Maxwell");
 
 
    // Constructors
 
        //- Construct from components
        Maxwell
        (
            const alphaField& alpha,
            const rhoField& rho,
            const volVectorField& U,
            const surfaceScalarField& alphaRhoPhi,
            const surfaceScalarField& phi,
            const transportModel& transport,
            const word& propertiesName = turbulenceModel::propertiesName,
            const word& type = typeName
        );
 
 
    //- Destructor
    virtual ~Maxwell() = default;
 
 
    // Member Functions
 
        //- Read model coefficients if they have changed
        virtual bool read();
 
        //- Return the Reynolds stress tensor
        virtual tmp<volSymmTensorField> R() const;
 
        //- Return the effective stress tensor
        virtual tmp<volSymmTensorField> devRhoReff() const;
 
        //- Return the effective stress tensor based on a given velocity field
        virtual tmp<volSymmTensorField> devRhoReff
        (
            const volVectorField& U
        ) const;
 
        //- Return the source term for the momentum equation
        virtual tmp<fvVectorMatrix> divDevRhoReff(volVectorField& U) const;
 
        //- Return the source term for the momentum equation
        virtual tmp<fvVectorMatrix> divDevRhoReff
        (
            const volScalarField& rho,
            volVectorField& U
        ) const;
 
        //- Solve the turbulence equations and correct eddy-Viscosity and
        //- related properties
        virtual void correct();
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace laminarModels
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#ifdef NoRepository
    #include "Maxwell.C"
#endif
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //